Question

if each interior of a regular polygon of N side is 157.5 degree find the value of n

Answer 1

Answer:

Step-by-step explanation:

Angle = (n-2)*180/n

150 = (n-2)*180/n

150n = 180n-360

-30n = -360

n = 12

Answer 2

Answer:

n = 16

Step-by-step explanation:

Formula:

Sum of all angles in a polygon = (n - 2) x 180 where n is the number of sides

STEP 1: Find the sum of all the angles in the polygon:

1 angle = 157.5º

n angles = 157.5nº

STEP 2: Apply formula and solve n:

(n - 2) x 180 = 157.5n

180n - 360 = 157.5n

180n - 157.5n = 360

22.5n = 360

n = 360 ÷ 22.5

n = 16

Answer: The value of n = 16